Global existence for semilinear wave equations with scaling invariant damping in 3-D

DOI10.1016/j.na.2021.112392zbMath1466.35265arXiv2102.00909OpenAlexW3157788123MaRDI QIDQ2033024

Yi Zhou, Ning-An Lai

Publication date: 14 June 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00909

zbMATH Keywords

global existencesmall data Cauchy problemweighted \(L^2-L^2\) estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Lifespan estimates of solutions for a coupled system of wave equations with damping terms and negative mass terms \(\ast\) ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term ⋮ Blow-up of solution to semilinear wave equations with strong damping and scattering damping

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